On second-order conditions for nonsmooth problems with constraints
Date Issued
2012-01-01
Author(s)
Dhara, Anulekha
Luc, Dinh The
Tinh, Phan Nhat
Volume
vol. 40
Issue
no. 2-3
Abstract
To study the su ciency of an optimization problem, one either imposes
some convexity assumptions or consider second order optimality conditions. In this
paper we establish second order optimality conditions for nonsmooth optimization
problems by considering second order approximations of the functions involved and
by introducing the concept of second order tangentiability.
some convexity assumptions or consider second order optimality conditions. In this
paper we establish second order optimality conditions for nonsmooth optimization
problems by considering second order approximations of the functions involved and
by introducing the concept of second order tangentiability.
Subjects
Second order tangent sets; second order approximations; second order optimality conditions; tangentiability; minimax problem